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Evgesh-ka [11]
3 years ago
6

Find the distance between the pair of points (-6.-17) and (-8.-19) The distance is (Round to the nearest thousandth as needed.)​

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2

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use the slope formula to determine the slope of a line that passes through the points (4,9) and (-8,-6)
larisa86 [58]

\frac{-6-9}{-8-4}\\ \\\frac{-15}{-12}\\ \\= \frac{5}{4}

Slope: 5/4

6 0
3 years ago
I don't understand the substitution method?
liq [111]
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.

In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x

2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y

now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5

now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0

and now we have solved the problem. x=0 and y=-5

6 0
3 years ago
The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread
TiliK225 [7]

P = 154\\a = 2b + 2

a = ?; b = ?

P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4

154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25

a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52

Answer: 25 and 52 m.

3 0
3 years ago
given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
F=-GMn/D^2 solve for M
notka56 [123]
M=FD^2/(-Gn) 
here is the solution 

5 0
3 years ago
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